论文标题

仪表和重力振幅

Gauge and Gravity Amplitudes on the Celestial Sphere

论文作者

Kalyanapuram, Nikhil

论文摘要

在天体球体上检查了仪表理论和重力中散射幅度的分析结构。可以在低多重性下比较这两种理论中的天体振幅 - 通过采用调节的梅林转化计算。通过直接计算确定,最多五个外部粒子,Kawai,Lewellen和Tye的双拷贝关系继续保持相同的,Modulo的某些乘法因子,这些因素是明确确定的。振幅的超对称表示始终在整个过程中使用,在$ \ mathcal {n} = 4 $ super yang-mills和$ \ Mathcal {n} = 8 $ supergravity之间表现出双复制结构。

The analytic structures of scattering amplitudes in gauge theory and gravity are examined on the celestial sphere. The celestial amplitudes in the two theories - computed by employing a regulated Mellin transform - can be compared at low multiplicity. It is established by direct computation that up to five external particles, the double copy relations of Kawai, Lewellen and Tye continue to hold identically, modulo certain multiplicative factors which are explicitly determined. Supersymmetric representations of the amplitudes are utilized throughout, manifesting the double copy structure between $\mathcal{N}=4$ super Yang-Mills and $\mathcal{N}=8$ supergravity on the celestial sphere.

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